The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1 12  1  1  1  8  1  1 12  2  0  1  1  4  2  1
 0  2  0  2  8  0  6  6  4 12  4 14  4  2  6  2  4  6 10  8 10  8  8 10 12  2  2 12  6 14  2  6 12  0  8  2  8 12  8  4  0
 0  0  2  2  4  6  6  0 12  8  2 12 14 12  6 10  2 12  6  8 14  4  6  4  2  8  0  4  0  2 12  2  8  2 14  8  0 10  4  2  8
 0  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  0  8  8  0  0

generates a code of length 41 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+88x^37+193x^38+224x^39+470x^40+202x^41+460x^42+140x^43+104x^44+88x^45+37x^46+20x^47+9x^48+6x^49+5x^50+1x^66

The gray image is a code over GF(2) with n=328, k=11 and d=148.
This code was found by Heurico 1.16 in 0.0991 seconds.